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Finding the Fourth Proportional to 121,652.48, 182,478.72 and 38,540

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Solution

The fourth proportional to 121,652.48, 182,478.72 and 38,540 is: 57,810

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,652.48 : 182,478.72 = 38,540 : x
  2. Step 2: Convert to fraction form
    121,652.48/182,478.72 = 38,540/x
  3. Step 3: Cross multiply
    121,652.48x = 182,478.72 × 38,540
  4. Step 4: Simplify right side
    121,652.48x = 7,032,729,868.80
  5. Step 5: Solve for x
    x = 7,032,729,868.80/121,652.48
  6. Step 6: Final answer
    x = 57,810

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.